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Finding the Third Proportional to 363,532 and 776,544

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Solution

The third proportional to 363,532 and 776,544 is: 1,658,782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,532 : 776,544 = 776,544 : x
  2. Step 2: Convert to fraction form
    363,532/776,544 = 776,544/x
  3. Step 3: Cross multiply
    363,532x = 776,544 × 776,544
  4. Step 4: Simplify right side
    363,532x = 603,020,583,936
  5. Step 5: Solve for x
    x = 603,020,583,936/363,532
  6. Step 6: Final answer
    x = 1,658,782.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.